1074098304000 has 528 divisors, whose sum is σ = 3936443883840. Its totient is φ = 281553715200.

The previous prime is 1074098303987. The next prime is 1074098304001. The reversal of 1074098304000 is 4038904701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074098304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67960099 + ... + 67975901.

Almost surely, 2^{1074098304000} is an apocalyptic number.

1074098304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074098304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968221941920).

1074098304000 is an abundant number, since it is smaller than the sum of its proper divisors (2862345579840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1074098304000 is a wasteful number, since it uses less digits than its factorization.

1074098304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1074098304000 in words is "one trillion, seventy-four billion, ninety-eight million, three hundred four thousand".